The Omega performance measure is equiped with the original family of Johnson distributions. Explicit representations for Omega or Sharpe with all four Johnson cumulated densities were derived to construct portfolios with respect to 4 mutually independent moments. Additionally, decompositions of...

This paper presents a new approach to portfolio optimisation that we call generalised mean-variance (GMV) analysis. One important case of this approach is based on the stocks m-tile (or quantile): if m = n, where n is the number of stocks, m-tile membership becomes rank. Our analysis is the rank...

In this article we attempt to expand the limited framework of single-objective optimisation and broaden Markowitz's market standard, within which the problem of portfolio selection is conventionally addressed. The decision maker's Investment Policy Statement (IPS) is formulated through a...